Answer:
Step-by-step explanation:
So what you need to do is take the two points (1, -5) and (3, -1) and subtract them. You take y of the second group and subtract y of the first group.
-1 - (-5) = 4
Now you do the first numbers in each group with the second set being the number you subtract from.
3 - 1 = 2
Now you do 
. Rise = 4 Run = 2
= 2
Now the second part is saying y = 3x + c with your first set of numbers being x and y.
x = 1
y = -5
-5 = 3(1) + c
-5 = 3 + c
Subtract 3 from -5
-8 = c
The final answer is:
y = 3x - 8
The value of x is 15.56.
Solution:
Tangent and Secant theorem:
If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.
BE = 22 BD = x, CD = x
BC = x + x = 2x
By the tangent and secant theorem,
Divide by 2 on both sides of the equation, we get
Take square root on both side of the equation.
x = 15.56
Hence the value of x is 15.56.
Let the length be l.
For now, let's make the width be w.
Additionally, l = w + 15. Using this equation, width can also be written as l - 15.
The perimeter of a rectangle is length + length + width + width. This can also be written as l + l + (l-15) + (l-15) = l + l + l - 15 + l - 15 = 4l - 30.
Using this equation:
4l - 30 = 262
4l = 292
l = 73
4(w + 15) - 30 = 262
4w + 60 - 30 = 262
4w + 30 = 262
4w = 232
w = 58
58/2=29
29 is prime
prime factorization is 2 times 29
Answer:
x = 3 is an extraneous solution
Step-by-step explanation:
